which inequality does the graph represent?​

Answer:

[tex]g = 2b-83[/tex]

[tex]b+g=259[/tex]

Number of boys = 114

Number of girls = 145

Step-by-step explanation:

Let the number of boys in the class = [tex]b[/tex]

Now, as per question statement,

Number of girls is 83 less than twice the number of boys.

Representing in the form of equation.

Let number of girls = [tex]g[/tex]

[tex]g = 2b-83 ....... (1)[/tex]

Also, given that total number of students in the class = 259

i.e. [tex]b+g=259[/tex]

Putting value of [tex]g[/tex] using equation (1):

[tex]\Rightarrow b+2b-83=259\\\Rightarrow 3b-83=259\\\Rightarrow 3b=259+83\\\Rightarrow 3b=342\\\Rightarrow \bold{b=114}[/tex]

So, number of boys, b = 114

Putting value of [tex]b[/tex] in equation (1) to find the value of [tex]g[/tex].

[tex]\Rightarrow g = 2(114)-83 \\\Rightarrow g = 228-83\\\Rightarrow \bold{g = 145}[/tex]

So, number of girls, g = 145.

Hence, the answer is:

Number of boys = 114

Number of girls = 145

Answer:

D

Step-by-step explanation:

The lines in A meet at a right angle (90°) so they are perpendicular.

The lines in B meet at a right angle (90°) so they are perpendicular.

The lines in C do not meet and appear to be parallel.

The lines in D meet at an angle that does not appear to be 90°, so they are neither perpendicular nor parallel.

Answer:

Step-by-step explanation:

To solve equations like this you need to to get x by itself.

So, Let's multiply both sides by 5 to get rid of 5.

3x/5 *5 = 30 * 5

= 3x = 150

Now we divide both sides by 3 to get x by itself,

3x/3 = 150/3

x = 50

Answer:

Step-by-step explanation:

[tex]\frac{3x}{5}=30\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\\frac{5\cdot \:3x}{5}=30\cdot \:5\\\\\mathrm{Simplify}\\\\3x=150\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}=\frac{150}{3}\\\\x = 50[/tex]

Answer:

b = 4.33 in

Step-by-step explanation:

angle A = 72°

hypotenuse = 14 in

Required: Adjacent side length (b)

use the formula Cos A = adjacent / hypotenuse

cos (72) = b / 14

b = cos (75) * 14

b = 4.33 in

A mode is a number that shows up more often than other numbers.

The number 5 would be a mode because there are two of them.

Since there are 2 modes and the numbers go from smallest to largest x would need to be 9, so there would be two 9’s

X = 9

Answer:

67/24

Step-by-step explanation:

Simplify the numerical expression.

2/3 divided by 2^4 + (3/4 + 1/6) divided by 1/3

2/3 ÷ 2⁴ +(3/4 + 1/6) ÷ 1/3

(2/3 ÷ 2⁴ ) +[(3/4 + 1/6) ÷ 3]

= (2/3 ÷ 16) + [9 + 2/12) ÷ 1/3]

=( 2/3 × 1/16 ) + [ 11/12 × 3]

= 1/24 + 11/4

= 67/24

Answer:

y = x - 3

Step-by-step explanation:

Equation of line in slope point form is given as:

y - y_1 = m(x - x_1)

[tex]y - y_1 = m(x - x_1) \\ y - 2 = 1(x - 5) \\ y - 2 = x - 5 \\ y = x - 5 + 2 \\ y = x - 3 \\ [/tex]

Answer:

Step-by-step explanation:

Distributive property:  a(b +c) = a*b + a*c

(2x + 1) - 7(-6x + 9) = (2x + 1) + (-7)*(-6x) + (-7)*9

                              = 2x + 1 + 42x - 63  {Combine like terms}

                              = 2x + 42x + 1 - 63

                              = 44x - 62

Answer:

14.25

Step-by-step explanation:

14 25/100= 14*100+25/100=

1400+25/ 100

= 1425/100

= 14.25

Answer:

14.25

Step-by-step explanation:

the expression 14 25/100 can be written as 14+25/100

now converting 25 into decimal to cancel out the denominator we ll get 0.25

now adding 14 into 0.25

14+0.25

we get 14.25

Answer: 15.07%

Step-by-step explanation:

Given: Gross Pay: $56

State Tax Withholding: $1.60

Social Security Tax: $2.35

Federal Tax Withholding: $3.68

Medicare Tax: $.81 .00

Total tax = (State Tax Withholding + Social Security Tax + Federal Tax Withholding + Medicare Tax)

= $(1.60+ 2.35+3.68+0.81)

= $8.44

So, the percent of Mia's gross pay goes for taxes = (Total tax ) ÷ (Gross (pay) × 100

=(8.44 )÷ (56) × 100

= 15.07%

Hence, the percent of Mia's gross pay goes for taxes is 15.07%.

Answer:

12

Step-by-step explanation:

2x - 6 = ?

x = 9

You substitute x for 9: the value of x.

2(9) - 6 = ?

2 * 9 = 18

18 - 6 = 12

So your answer is 12.

Hope it helps : )

Brainliest pleaseeee

======================================================

Explanation:

Points are of the form (x,y), where y = f(x) since y and f(x) are outputs.

When we vertically stretch by a factor of 3, we are making the function curve 3 times more stretched out along the vertical y axis. So a general point (x,y) becomes (x,3y). Whatever the y coordinate is, we multiply by 3 to get its stretched out counterpart.

Eg: (0,-2) on f(x) moves to (0,-6) which is on g(x)

-------------

Since y = f(x), and we're multiplying y by 3, we can say

f(x) = |x-3| - 2

3*f(x) = 3*( |x-3| - 2 )

3*f(x) = 3|x-3| + 3(-2)

3*f(x) = 3|x-3| - 6

g(x) = 3|x-3| - 6

Answer:

k > 8

Step-by-step explanation:

Step 1: We know in order for a quadratic equation to have 2 distinct solutions the discriminant has to be positive

Important formula: Discriminant = [tex]b^{2}-4ac[/tex]

Step 2: Input information into discriminant

[tex]b^{2}-4ac[/tex] > 0

[tex]k^{2}-4(2)(8)[/tex] > 0

[tex]k^{2}-64[/tex] > 0

[tex]k^{2}[/tex] > 64

[tex]\sqrt{ k^{2}}>\sqrt{64}[/tex]

k > 8

Therefore in order for the equation to have 2 distinct solutions is to have k > 8

(b²-4ac) > 0

where Z is an integer

(-k)²-4(2)(8) > 0

k²-64 > 0

k²>64

k>8

Therefore the sum of all values of k is infinite

The equivalent expression after combining the like terms is -3x - 7.

We have,

Expression:

-3x - 6 + (-1)

-6 and -1 are like terms.

To combine the like terms simply add them together:

-3x - 6 + (-1)

-3x - 7

-3x is the only term so it can be simplified further.

This is the simplest form of the expression.

Therefore,

The equivalent expression after combining the like terms is -3x - 7.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ4

Answer:

a = 5

Step-by-step explanation:

Hello, please consider the following.

[tex]6x^3+18x^2-240x=6x(x^2+3x-40)\\\\\text{** The sum of the zeroes is -3=-8+5 and the product is -40=-8*5. **}\\\\\text{** So, we can factorise. **}\\\\6x^3+18x^2-240x=6x(x^2+3x-40)=6x(x^2+8x-5x-40)\\\\=6x(x(x+8)-5(x+8))\\\\\large \boxed{=6x(x+8)(x-5)}[/tex]

So, a = 5.

Thank you.

Answer:

49

Step-by-step explanation:

To find the number we add to both sides to complete the square, we do b divided by 2 all squared.

(b/2)²

In this case, we have b = 14

(14/2)²

7²

49

Answer:   49  

Step-by-step explanation:

To complete the square, the second leading coefficient  divided by 2 squared will give you the number need to add to both sides.

For example,

14 is the second leading coefficient in the   so if you divide it by 2 you get 7  and 7 squared is 49.

Answer:

d

Step-by-step explanation:

Answer:

THERE R 3 FACTORS SO D

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                     PEACE!

Answer:

C

Step-by-step explanation:

2x + 3(x - 10) = 45

2x + 3x - 30 = 45

5x - 30 = 45

5x = 75

x = 15

Answer:

Hey there!

p(x)=x+30

p(13)=13+30

p(13)=43

5(43)=215

Let me know if this helps :)

Answer:

x=3

Step-by-step explanation:

5x + 4 = 19

     -4     -4

     5x = 15

      /5    /5

       x = 3

Answer:

south america and north america

Step-by-step explanation:

Answer:

I got 50.7%, rounded up to be 51

Step-by-step explanation:

Add up all of Sohan's points and divide it by the total number of points and move the decimal over 2 places

Answer:

90

Step-by-step explanation:

Let x be Dany's score in geography. His score in chemistry is double his score in geography and it is equal to

2 x

The average of all four scores is 79. Hence

(93 + 88 + x + 2 x) / 4 = 79

Multiply both sides of the equation by 4

4×(93 + 88 + x + 2 x) / 4 = 4×79

Simplify

93 + 88 + x + 2 x = 316

Group like terms

3 x + 181 = 316

Solve for x

3 x = 135

3 x / 3 = 135 / 3

x = 45

score in geography = x = 45

score in chemistry = 2 x = 2 × 45 = 90

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

Answer:

[tex]\huge\boxed{Chem = 90 \ marks , Geo = 45 \ marks}[/tex]

Step-by-step explanation:

Let the score of geography be x

=> Then, the score of chemistry will be 2x

So, the given condition is:

[tex]Average = \frac{Sum \ of \ values}{No. \ of \ values}[/tex]

=> [tex]79 = \frac{93+88+x+2x}{4}[/tex]

=> [tex]79 = \frac{181+3x}{4}[/tex]

Multiplying both sides by 4

=> [tex]79 * 4 = 181+3x[/tex]

=> 316 = 181 + 3x

Subtracting 181 to both sides

=> 316-181 = 3x

=> 135 = 3x

Dividing both sides by 3

=> 45 = x

OR

=> x = 45

So,

Chemistry = 45 * 2 = 90 marks

Geography = 45 marks

Answer:

x=8

Step-by-step explanation:

x+12=20

Answer:

The correct equation for the scenario is C=k / f

Number of cars when fee=$6 is

C=k/6

Step-by-step explanation:

Let

C= number of cars

f=fee

Number of cars increases as fee decreases

This is an inverse variation

Therefore,

C= k / f

When,

f=$6

C= k / f

C=k/6

The correct equation for the scenario is C=k / f

Number of cars when fee=$6 is

C=k/6

Answer:

3 bags cost $8.25

Step-by-step explanation:

Proportions:

6 bags  ⇔   $16.50

3 bags   ⇔   $B

B = 16.5*3/6

B = $8.25

Answer:

Step-by-step explanation:

8.25

Answer:

1

Step-by-step explanation:

12x+x+4=17

13x=17-4

13x=13

x=1

Answer: m∠F = 31°

Solution: The triangle's rotation is irrelevant to the measure of its angles. In other words, angles D, E, and F will all stay the same if the triangle is turned ("rotated"). That being said, we know by definition that the interior angles of a triangle add up to 180°. We are given two of the angles, and we are asked to find the third:

Answer:

x = -8/3

Step-by-step explanation:

So first let's simplify the expression. Grouping together like terms gives:

-3x + 7 = -1

Subtracting 7 from both sides gives

-3x = -8

Meaning x = -8/3

Answer:

x = 8/3 or 2.67

Step-by-step explanation:

6x - 9x + 7 = -1

6x - 9x = -3x

-3x + 7 = -1

       -7    -7

-3x = -8

/-3    /-3

x = 8/3 or 2.67

Answer:

a

Step-by-step explanation:

d - 24 = 212

d +24 = 212 + 24

d= 236